On a frictionless horizontal table, two blocks A and B each ...

We are tasked with finding the initial speed of block A before the collision, given the following information:

Mass of both blocks:

Height of the table:

Horizontal distance traveled by block B after falling:

Acceleration due to gravity:

Determine the time for block B to fall

When block B falls off the table, it undergoes free fall. The time it takes to fall a vertical distance is determined by the kinematic equation for free fall:

Solving for :

Determine the horizontal velocity of block B

When block B lands on the ground after falling off the table, it has a horizontal velocity, which can be found from the horizontal distance it travels. The horizontal distance traveled by block B is , and the time taken to fall is . The horizontal velocity of block B is:

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